question_answer

In the following match each item given under the column \[{{1}^{st}}\] to its correct answer given under the column \[{{2}^{nd}}\]:

Column ? I		Column - II
a.	\[\sin (x+y)\sin (x-y)\]	i.	\[{{\cos }^{2}}x-{{\sin }^{2}}y\]
b.	\[\cos (x+y)\cos (x-y)\]	ii.	\[\frac{1-\tan \theta }{1+\tan \theta }\]
c.	\[\cot \left( \frac{\pi }{4}+\theta  \right)\]	iii.	\[\frac{1+\tan \theta }{1-\tan \theta }\]
d.	\[\tan \left( \frac{\pi }{4}+\theta  \right)\]	iv.	\[{{\sin }^{2}}x-{{\sin }^{2}}y\]

 

A)  a - i, b - ii, c - iii, d - iv

B)  a - ii, b-  iv, c - iii, d -i

C)  a - iv, b- ii, c- i, d - iii

D)  a - iii, b - ii, c - iv, d - i

E)  None of these